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|Title||Quantization of Constrained Systems with Higher−Order Lagrangian|
Dirac’s method of discrete regular systems with higher-order Lagrangian, are studied as singular systems with first-order Lagrangian, and the equations of motion are obtained. It is shown that the Hamilton-Jacobi approach leads to the same equations of motion as obtained by Dirac’s method. The second-order non-linear Lagrangian is studied as an example. Continuous systems with higher-order Lagrangian density is treated as first-order ones, using Hamilton-Jacobi method. As applications, we investigated the effective higher-order Lagrangian of massive scalar field (Kelin-Gordon theory) and massive vector field (Yang-Mills theory). Besides, the canonical path integral quantization was obtained to quantize singular systems.
|Publisher||the islamic university|
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